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222248 = 23132137
BaseRepresentation
bin110110010000101000
3102021212102
4312100220
524102443
64432532
71613645
oct662050
9367772
10222248
11141a84
12a8748
137a210
145adcc
1545cb8
hex36428

222248 has 16 divisors (see below), whose sum is σ = 448980. Its totient is φ = 102528.

The previous prime is 222247. The next prime is 222269. The reversal of 222248 is 842222.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 47524 = 418^2 + 218^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (222247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 965 + ... + 1172.

2222248 is an apocalyptic number.

It is an amenable number.

222248 is an abundant number, since it is smaller than the sum of its proper divisors (226732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222248 is a wasteful number, since it uses less digits than its factorization.

222248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 222248 is about 471.4318614604. The cubic root of 222248 is about 60.5730284037.

The spelling of 222248 in words is "two hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 2137 4274 8548 17096 27781 55562 111124 222248